Introduction to Computational Quantum Physics
Speaker: Nan Sheng (Uchicago) Dates: 2023/04/21 Abstract: Quantum many-body physics is principally a problem where algorithmic complexity increases exponentially w.r.t. the system size. In order to tackle the quantum information encoded in the exponential scaling, robust computational methods are required….
Transformer meets boundary value inverse problems
Speaker: Ruchi Guo (UCI) Dates: 2023/04/07 Zoom link: click this link Abstract: A Transformer-based deep direct sampling method is proposed for solving a class of boundary value inverse problem. A real-time reconstruction is achieved by evaluating the learned inverse operator…
Reduced order model for kinetic and transport problems
Speaker: Zhichao Peng (MSU) Dates: 2023/02/24 Zoom link: click this link Abstract: Numerical simulation plays an important role in various engineering and scientific problems. Reduced order model (ROM), a technique to reduce degrees of freedom needed in numerical simulations, is…
Deep Neural Network Modeling of Unknown System Dynamics
Speaker: Zhen Chen (Dartmouth) Dates: 2023/02/17 Zoom link: click this link Abstract: There are numerous observational, experimental, or simulation data for problems in science and engineering. Differential equations governing the underlying dynamics are often unknown for some systems. The ability…
Monotone meshfree methods for linear elliptic equations in non-divergence form via nonlocal relaxation
Speaker: Qihao Ye (UCSD) Dates: 2023/01/20 Zoom link: click this link Abstract: We design a monotone meshfree finite difference method for linear elliptic equations in the non-divergence form on point clouds via a nonlocal relaxation method. The key idea is…
Search for Time accuracy: A Variable Time-stepping Algorithm for Computational Fluid Dynamics
Speaker: Wenlong Pei (OSU) Dates: 2022/12/01 Abstract: Dahlquist, Liniger, and Nevanlinna proposed a two-step time-stepping scheme for systems of ordinary differential equations (ODEs) in 1983. The little-explored variable time-stepping scheme has advantages in numerical simulations for its fine properties such…
Investigating Stability for Implicit-Explicit Discontinuous Galerkin Methods (IMEX-DG) on the Linear Convection-Dispersion Equation
Speaker: Joseph Hunter (OSU) Dates: 2022/10/20 Abstract: In this talk we will introduce the Local Discontinuous Galerkin for a linear convection-dispersion PDE. The stability of this method when paired with an Implicit-Explicit Runge-Kutta time-stepping method will be investigated using the…
Bayesian Radar Image Formation
Speaker: Victor Churchill (OSU) Dates: 2022/10/27 Abstract: In this talk, I will present a Bayesian approach to the inverse problem of radar image formation. We will formulate a posterior distribution that has desirable properties with respect to specifics of radar…
Runge-Kutta discontinuous Galerkin(RKDG) methods and cRKDG
Speaker: Qifan Chen (OSU) Dates: 2022/09/29 Abstract: Discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They combine features of the finite element and the finite volume framework and have been successfully applied to…
Interface Problems and Immersed Finite Element Methods
Speaker: Yuan Chen (OSU) Dates: 2022/09/22 Abstract: In this talk, we introduce PDE interface problems and their applications. A brief picture of Immersed Finite Element Method (IFEM) for interface problems will be sketched. Upon sharing the basic ideas and theoretical…